MATHEMATICS MIDDLE SCHOOL

If f(x) = 5x + 40, what is f(x) when x = -5?
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Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

f(-5)= 5(-5)+40 = -25+40 = 15

You substitute -5 in place of x

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Which pairs of variables would most likely have a positive association? Choose all that apply. •The age of a kitten and it’s weight•Temperature and sales of mittens •Temperature and sales of Ice Cream•The height of students and their scores on a test• the number of notebooks bought and the total cost•the amount of time walking home and the current distance from home

Priya drew a circle whose circumference is 25 cm. Clare drew a circle whose diameter is 3 times the diameter or Priya’s circle. What is the circumference of Clare’s circle?

Answers

Answer: 75 cm

Step-by-step explanation:

We know that the circumference of a circle is given by :-

$\text{Circumference}= \pi d$ , where d= diameter.

Given : Priya drew a circle whose circumference is 25 cm.

Substitute Circumference= 25 in the formula , we get

$25= \pi d\n\n\Rightarrow\ d=(25)/(\pi)$

If Clare draw a circle whose diameter is 3 times the diameter or Priya’s circle.

Then, the diameter of Clare's circle = $d'=3d=3(25)/(\pi)=(75)/(\pi)$

Now , the circumference of Clare’s circle :

$\text{Circumference}= \pi d'\n\n=\pi *(75)/(\pi)=75\ cm$

Hence, the circumference of Clare’s circle = 75 cm

The Donatones drove 150 miles in 3 hours. At this rate how long will it take them to drive 400 miles?

Answers

Let's first find out how many miles they can drive in ONE hour. 150/3=50, so they drive 50 miles per hour. So, to drive 400 miles, we need to divide the number of miles by how much they drive per hour to see how long it will take. 400/50=8, so it will take the Donatones 8 hours.

Answer: 8 hours

It will take them 8 hours to drive 400 miles.

Ella is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $200 for 4 months. Write an equation for C
(
t
)
,
C(t), the total cost of the gym membership over
t
t months.

Answers

Answer:52000

Step-by-step explanation:

C(t)=4t($25)+$200
The reason we put a 4 before the t($25) is because with the $200 it states that that’s the price for 4 months, so we know that the time has to be by a factor of 4 because you have to pay the gym membership every 4 months.

How many 30 degree angle does it take to make a full turn

Answers

12 turns.
360 degrees is a full turn, so if you multiply 30 degreed by 12, you go around in a circle.

COULD SOMEONE HELP EXPLAIN THIS TO ME? I'M REALLY CONFUSEDThe scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data.

y = 3.4x + 43

According to the model, how many more pizzas are sold for each additional coupon issued?

1 pizzas

3.4 pizzas

4.3 pizzas

43 pizzas

46 pizza

Answers

Answer:

B. 3.4 pizzas.

Step-by-step explanation:

We have been given a scatter plot, which represents the number of pizzas (y) sold during weeks when different numbers of coupons (x) were issued. The equation represents the linear model for this data: $y=3.4x+43$

We can see that our given equation is in form of slope intercept form: $y=mx+b$ , where m= slope of line and b = y-intercept.

We can see from our given equation that y-intercept is 43, when no coupons were issued, there were 43 pizzas sold. 43 is constant and it will not change by any change in x.

The slope of our line is 3.4, which represents change in number of pizzas with respect to change in number of coupons issued. Therefore, 3.4 more pizzas are sold for additional coupon issued and option B is the correct choice.

Answer: B. 3.4

Step-by-step explanation:

We can see that our given equation is in form of slope intercept form: , where m= slope of line and b = y-intercept.

We can see from our given equation that y-intercept is 43, when no coupons were issued, there were 43 pizzas sold. 43 is constant and it will not change by any change in x.

The slope of our line is 3.4, which represents change in number of pizzas with respect to change in number of coupons issued. Therefore, 3.4 more pizzas are sold for additional coupon issued and option B is the correct choice.

Write a multiplication problem using two decimals that has a product greater than 0.1 but less than 0.2